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过(-1,j0)点的奈氏判据 --控制原理高阶建设探索

The Nyquist Stability Criterion When Passing through Point(-1,j0)--Exploration of High-Order Construction of Course Principle of Automatic Control
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摘要 响应教育部关于一流本科课程持续建设的高阶性要求,以奈氏曲线穿过(-1,j0)点时的稳定判据为例,对“自动控制原理”高阶性建设开展了探索。结合幅角原理得到了穿过(-1,j0)点时稳定性判断方法及不稳定时右半平面闭环极点个数的判断方法。示例展示了原点处或虚轴上闭环极点为单重根和多重根的情形,验证了所提判断方法的正确性。最后对课程的高阶性建设思路做了总结。 In order to respond to the high-order requirements of the Ministry of Education on the continuous construction of first-class undergraduate courses,this paper carries out some explorations on the high-order construction of course Principle of Automatic Control through the Nyquist stability criterion when passing through point(-1,j0).Using the argument principle,a theoretical analysis of Nyquist curve passing through(-1,j0)is carried out,and both the stability judgment method and the judgment method of the number of closed-loop poles on the right half plane when unstable are obtained.Examples show the cases when the closed-loop poles at the origin or on the virtual axis are single root or double roots,and verify the correctness of the proposed method.Finally,this paper summarizes the high-order construction of the course.
作者 王燕舞 刘骁康 张悦 肖江文 WANG Yanwu;LIU Xiaokang;ZHANG Yue;XIAO Jiangwen(School of Artificial Intelligence and Automation,Huazhong University of Science and Technology,Wuhan 430074,China)
出处 《电气电子教学学报》 2023年第3期49-55,共7页 Journal of Electrical and Electronic Education
基金 湖北高校省级教学改革研究项目(2020091) 华中科技大学教研项目(2020020)。
关键词 自动控制原理 奈氏稳定判据 幅角原理 principle of automatic control Nyquist stability criterion argument principle
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